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Finding the Fourth Proportional to 1,807.16, 2,707.90 and 1,076.33

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Solution

The fourth proportional to 1,807.16, 2,707.90 and 1,076.33 is: 1,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.16 : 2,707.90 = 1,076.33 : x
  2. Step 2: Convert to fraction form
    1,807.16/2,707.90 = 1,076.33/x
  3. Step 3: Cross multiply
    1,807.16x = 2,707.90 × 1,076.33
  4. Step 4: Simplify right side
    1,807.16x = 2,914,598.09
  5. Step 5: Solve for x
    x = 2,914,598.09/1,807.16
  6. Step 6: Final answer
    x = 1,612.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.